Information on Result #2416924
Linear OOA(251, 30, F2, 2, 30) (dual of [(30, 2), 9, 31]-NRT-code), using strength reduction based on linear OOA(251, 30, F2, 2, 31) (dual of [(30, 2), 9, 32]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- Denniston code D(1,8) [i]
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(253, 31, F2, 2, 30) (dual of [(31, 2), 9, 31]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(255, 32, F2, 2, 30) (dual of [(32, 2), 9, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(252, 30, F2, 2, 30) (dual of [(30, 2), 8, 31]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(250, 29, F2, 2, 29) (dual of [(29, 2), 8, 30]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(249, 29, F2, 2, 28) (dual of [(29, 2), 9, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(248, 28, F2, 2, 27) (dual of [(28, 2), 8, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(247, 28, F2, 2, 26) (dual of [(28, 2), 9, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(2112, 61, F2, 2, 60) (dual of [(61, 2), 10, 61]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(2112, 61, F2, 2, 61) (dual of [(61, 2), 10, 62]-NRT-code) | [i] | ||
| 10 | Linear OOA(251, 15, F2, 4, 30) (dual of [(15, 4), 9, 31]-NRT-code) | [i] | OOA Folding | |